Suppose F is a polynomial and Σh≥0 F(bh)Xh represents a rational function. If the bh all belong to a field finitely generated over Q, then it is a generalization of a conjecture of Pisot that there is a sequence (ch) with F(ch) = F(bh) for h = 0, 1, . . . so that also Σh≥0 chXh represents a rational function. We explain the context of this Hadamard root conjecture and make some suggestions that might lead to its proof, emphasizing the apparent difficulties that have to be overcome and the ideas that might be employed to that end.
|Number of pages||15|
|Journal||Rocky Mountain Journal of Mathematics|
|Publication status||Published - Jun 1996|